Random points in the unit ball of \(\ell^{ n }_{ p }\) (Q865009)
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scientific article; zbMATH DE number 5125392
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Random points in the unit ball of \(\ell^{ n }_{ p }\) |
scientific article; zbMATH DE number 5125392 |
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Random points in the unit ball of \(\ell^{ n }_{ p }\) (English)
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13 February 2007
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Two well-known results in random matrix theory are due to \textit{V. A. Marčenko} and \textit{L. A. Pastur} [Math. USSR, Sb. 1, 457--483 (1967; Zbl 0162.22501)], and \textit{Z. D. Bai} and \textit{Y. Q. Yin} [Ann. Probab. 21, No. 3, 1275--1294 (1993; Zbl 0779.60026)]. In the paper under review, the author proves analogs of those theorems, in the case where the condition ``identically distributed independent entries'' is replaced by ``uniformly distributed (on a certain ball of \(\ell_n^p\)) independent rows''.
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\(\ell^n_p\) spaces
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random matrices
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random vectors
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uniformly distributed independent rows
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